What is the Greatest Common Factor of 79314 and 79329?

Greatest common factor (GCF) of 79314 and 79329 is 3.

GCF(79314,79329) = 3

We will now calculate the prime factors of 79314 and 79329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79314 and 79329.

How to find the GCF of 79314 and 79329?

We will first find the prime factorization of 79314 and 79329. After we will calculate the factors of 79314 and 79329 and find the biggest common factor number .

Step-1: Prime Factorization of 79314

Prime factors of 79314 are 2, 3, 13219. Prime factorization of 79314 in exponential form is:

79314 = 2¹ × 3¹ × 13219¹

Step-2: Prime Factorization of 79329

Prime factors of 79329 are 3, 31, 853. Prime factorization of 79329 in exponential form is:

79329 = 3¹ × 31¹ × 853¹

Step-3: Factors of 79314

List of positive integer factors of 79314 that divides 79314 without a remainder.

1, 2, 3, 6, 13219, 26438, 39657

Step-4: Factors of 79329

List of positive integer factors of 79329 that divides 79314 without a remainder.

1, 3, 31, 93, 853, 2559, 26443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79314 and 79329. The biggest common factor number is the GCF number.
So the greatest common factor 79314 and 79329 is 3.

Also check out the Least Common Multiple of 79314 and 79329